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Finding the Third Proportional to 172,287 and 365,031.38

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Solution

The third proportional to 172,287 and 365,031.38 is: 773,406.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,287 : 365,031.38 = 365,031.38 : x
  2. Step 2: Convert to fraction form
    172,287/365,031.38 = 365,031.38/x
  3. Step 3: Cross multiply
    172,287x = 365,031.38 × 365,031.38
  4. Step 4: Simplify right side
    172,287x = 133,247,904,734.39
  5. Step 5: Solve for x
    x = 133,247,904,734.39/172,287
  6. Step 6: Final answer
    x = 773,406.61

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.